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Finding the Fourth Proportional to 284.18, 392.14 and 158.14

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Solution

The fourth proportional to 284.18, 392.14 and 158.14 is: 218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.18 : 392.14 = 158.14 : x
  2. Step 2: Convert to fraction form
    284.18/392.14 = 158.14/x
  3. Step 3: Cross multiply
    284.18x = 392.14 × 158.14
  4. Step 4: Simplify right side
    284.18x = 62,011.50
  5. Step 5: Solve for x
    x = 62,011.50/284.18
  6. Step 6: Final answer
    x = 218.22

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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.