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Finding the Fourth Proportional to 918.70, 1,378.08 and 294.10

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Solution

The fourth proportional to 918.70, 1,378.08 and 294.10 is: 441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.70 : 1,378.08 = 294.10 : x
  2. Step 2: Convert to fraction form
    918.70/1,378.08 = 294.10/x
  3. Step 3: Cross multiply
    918.70x = 1,378.08 × 294.10
  4. Step 4: Simplify right side
    918.70x = 405,293.33
  5. Step 5: Solve for x
    x = 405,293.33/918.70
  6. Step 6: Final answer
    x = 441.16

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.