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Finding the Fourth Proportional to 284.39, 392.50 and 160.06

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Solution

The fourth proportional to 284.39, 392.50 and 160.06 is: 220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.39 : 392.50 = 160.06 : x
  2. Step 2: Convert to fraction form
    284.39/392.50 = 160.06/x
  3. Step 3: Cross multiply
    284.39x = 392.50 × 160.06
  4. Step 4: Simplify right side
    284.39x = 62,823.55
  5. Step 5: Solve for x
    x = 62,823.55/284.39
  6. Step 6: Final answer
    x = 220.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.