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Finding the Fourth Proportional to 284.88, 424.95 and 257.52

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Solution

The fourth proportional to 284.88, 424.95 and 257.52 is: 384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.88 : 424.95 = 257.52 : x
  2. Step 2: Convert to fraction form
    284.88/424.95 = 257.52/x
  3. Step 3: Cross multiply
    284.88x = 424.95 × 257.52
  4. Step 4: Simplify right side
    284.88x = 109,433.12
  5. Step 5: Solve for x
    x = 109,433.12/284.88
  6. Step 6: Final answer
    x = 384.14

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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.