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Finding the Fourth Proportional to 284.41, 392.47 and 160.07

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Solution

The fourth proportional to 284.41, 392.47 and 160.07 is: 220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.41 : 392.47 = 160.07 : x
  2. Step 2: Convert to fraction form
    284.41/392.47 = 160.07/x
  3. Step 3: Cross multiply
    284.41x = 392.47 × 160.07
  4. Step 4: Simplify right side
    284.41x = 62,823.25
  5. Step 5: Solve for x
    x = 62,823.25/284.41
  6. Step 6: Final answer
    x = 220.89

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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.