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Finding the Fourth Proportional to 315.65, 473.42 and 132.99

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Solution

The fourth proportional to 315.65, 473.42 and 132.99 is: 199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.65 : 473.42 = 132.99 : x
  2. Step 2: Convert to fraction form
    315.65/473.42 = 132.99/x
  3. Step 3: Cross multiply
    315.65x = 473.42 × 132.99
  4. Step 4: Simplify right side
    315.65x = 62,959.46
  5. Step 5: Solve for x
    x = 62,959.46/315.65
  6. Step 6: Final answer
    x = 199.46

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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.