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Finding the Fourth Proportional to 332.90, 457.48 and 317.66

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Solution

The fourth proportional to 332.90, 457.48 and 317.66 is: 436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.90 : 457.48 = 317.66 : x
  2. Step 2: Convert to fraction form
    332.90/457.48 = 317.66/x
  3. Step 3: Cross multiply
    332.90x = 457.48 × 317.66
  4. Step 4: Simplify right side
    332.90x = 145,319.22
  5. Step 5: Solve for x
    x = 145,319.22/332.90
  6. Step 6: Final answer
    x = 436.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.