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Finding the Fourth Proportional to 407.98, 562.72 and 283.66

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Solution

The fourth proportional to 407.98, 562.72 and 283.66 is: 391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.98 : 562.72 = 283.66 : x
  2. Step 2: Convert to fraction form
    407.98/562.72 = 283.66/x
  3. Step 3: Cross multiply
    407.98x = 562.72 × 283.66
  4. Step 4: Simplify right side
    407.98x = 159,621.16
  5. Step 5: Solve for x
    x = 159,621.16/407.98
  6. Step 6: Final answer
    x = 391.25

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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.