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Finding the Fourth Proportional to 918.67, 1,378.05 and 260.49

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Solution

The fourth proportional to 918.67, 1,378.05 and 260.49 is: 390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.67 : 1,378.05 = 260.49 : x
  2. Step 2: Convert to fraction form
    918.67/1,378.05 = 260.49/x
  3. Step 3: Cross multiply
    918.67x = 1,378.05 × 260.49
  4. Step 4: Simplify right side
    918.67x = 358,969.07
  5. Step 5: Solve for x
    x = 358,969.07/918.67
  6. Step 6: Final answer
    x = 390.75

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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.