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Finding the Fourth Proportional to 284.78, 392.98 and 160.44

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Solution

The fourth proportional to 284.78, 392.98 and 160.44 is: 221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.78 : 392.98 = 160.44 : x
  2. Step 2: Convert to fraction form
    284.78/392.98 = 160.44/x
  3. Step 3: Cross multiply
    284.78x = 392.98 × 160.44
  4. Step 4: Simplify right side
    284.78x = 63,049.71
  5. Step 5: Solve for x
    x = 63,049.71/284.78
  6. Step 6: Final answer
    x = 221.40

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