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Finding the Fourth Proportional to 372.50, 556.61 and 284.16

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Solution

The fourth proportional to 372.50, 556.61 and 284.16 is: 424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.50 : 556.61 = 284.16 : x
  2. Step 2: Convert to fraction form
    372.50/556.61 = 284.16/x
  3. Step 3: Cross multiply
    372.50x = 556.61 × 284.16
  4. Step 4: Simplify right side
    372.50x = 158,164.88
  5. Step 5: Solve for x
    x = 158,164.88/372.50
  6. Step 6: Final answer
    x = 424.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.