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Finding the Fourth Proportional to 356.37, 531.80 and 315.37

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Solution

The fourth proportional to 356.37, 531.80 and 315.37 is: 470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.37 : 531.80 = 315.37 : x
  2. Step 2: Convert to fraction form
    356.37/531.80 = 315.37/x
  3. Step 3: Cross multiply
    356.37x = 531.80 × 315.37
  4. Step 4: Simplify right side
    356.37x = 167,711.65
  5. Step 5: Solve for x
    x = 167,711.65/356.37
  6. Step 6: Final answer
    x = 470.61

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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.