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Finding the Fourth Proportional to 374.60, 516.50 and 312.52

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Solution

The fourth proportional to 374.60, 516.50 and 312.52 is: 430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.60 : 516.50 = 312.52 : x
  2. Step 2: Convert to fraction form
    374.60/516.50 = 312.52/x
  3. Step 3: Cross multiply
    374.60x = 516.50 × 312.52
  4. Step 4: Simplify right side
    374.60x = 161,416.58
  5. Step 5: Solve for x
    x = 161,416.58/374.60
  6. Step 6: Final answer
    x = 430.90

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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.