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Finding the Fourth Proportional to 332.85, 495.75 and 315.50

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Solution

The fourth proportional to 332.85, 495.75 and 315.50 is: 469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.85 : 495.75 = 315.50 : x
  2. Step 2: Convert to fraction form
    332.85/495.75 = 315.50/x
  3. Step 3: Cross multiply
    332.85x = 495.75 × 315.50
  4. Step 4: Simplify right side
    332.85x = 156,406.65
  5. Step 5: Solve for x
    x = 156,406.65/332.85
  6. Step 6: Final answer
    x = 469.91

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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.