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Finding the Fourth Proportional to 359.18, 537.44 and 315.64

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Solution

The fourth proportional to 359.18, 537.44 and 315.64 is: 472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.18 : 537.44 = 315.64 : x
  2. Step 2: Convert to fraction form
    359.18/537.44 = 315.64/x
  3. Step 3: Cross multiply
    359.18x = 537.44 × 315.64
  4. Step 4: Simplify right side
    359.18x = 169,637.01
  5. Step 5: Solve for x
    x = 169,637.01/359.18
  6. Step 6: Final answer
    x = 472.30

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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.