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Finding the Fourth Proportional to 918.57, 1,377.50 and 302.16

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Solution

The fourth proportional to 918.57, 1,377.50 and 302.16 is: 453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.57 : 1,377.50 = 302.16 : x
  2. Step 2: Convert to fraction form
    918.57/1,377.50 = 302.16/x
  3. Step 3: Cross multiply
    918.57x = 1,377.50 × 302.16
  4. Step 4: Simplify right side
    918.57x = 416,225.40
  5. Step 5: Solve for x
    x = 416,225.40/918.57
  6. Step 6: Final answer
    x = 453.12

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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.