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Finding the Fourth Proportional to 332.60, 457.80 and 313.70

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Solution

The fourth proportional to 332.60, 457.80 and 313.70 is: 431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.60 : 457.80 = 313.70 : x
  2. Step 2: Convert to fraction form
    332.60/457.80 = 313.70/x
  3. Step 3: Cross multiply
    332.60x = 457.80 × 313.70
  4. Step 4: Simplify right side
    332.60x = 143,611.86
  5. Step 5: Solve for x
    x = 143,611.86/332.60
  6. Step 6: Final answer
    x = 431.79

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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.