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Finding the Fourth Proportional to 374.59, 562.80 and 353.87

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Solution

The fourth proportional to 374.59, 562.80 and 353.87 is: 531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.59 : 562.80 = 353.87 : x
  2. Step 2: Convert to fraction form
    374.59/562.80 = 353.87/x
  3. Step 3: Cross multiply
    374.59x = 562.80 × 353.87
  4. Step 4: Simplify right side
    374.59x = 199,158.04
  5. Step 5: Solve for x
    x = 199,158.04/374.59
  6. Step 6: Final answer
    x = 531.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.