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Finding the Fourth Proportional to 284.46, 424.38 and 257.93

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Solution

The fourth proportional to 284.46, 424.38 and 257.93 is: 384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.46 : 424.38 = 257.93 : x
  2. Step 2: Convert to fraction form
    284.46/424.38 = 257.93/x
  3. Step 3: Cross multiply
    284.46x = 424.38 × 257.93
  4. Step 4: Simplify right side
    284.46x = 109,461.39
  5. Step 5: Solve for x
    x = 109,461.39/284.46
  6. Step 6: Final answer
    x = 384.80

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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.