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Finding the Fourth Proportional to 284.54, 424.16 and 269.15

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Solution

The fourth proportional to 284.54, 424.16 and 269.15 is: 401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.54 : 424.16 = 269.15 : x
  2. Step 2: Convert to fraction form
    284.54/424.16 = 269.15/x
  3. Step 3: Cross multiply
    284.54x = 424.16 × 269.15
  4. Step 4: Simplify right side
    284.54x = 114,159.20
  5. Step 5: Solve for x
    x = 114,159.20/284.54
  6. Step 6: Final answer
    x = 401.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.