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Finding the Fourth Proportional to 359.32, 535.57 and 347.47

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Solution

The fourth proportional to 359.32, 535.57 and 347.47 is: 517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.32 : 535.57 = 347.47 : x
  2. Step 2: Convert to fraction form
    359.32/535.57 = 347.47/x
  3. Step 3: Cross multiply
    359.32x = 535.57 × 347.47
  4. Step 4: Simplify right side
    359.32x = 186,094.51
  5. Step 5: Solve for x
    x = 186,094.51/359.32
  6. Step 6: Final answer
    x = 517.91

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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.