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Finding the Fourth Proportional to 359.64, 542.72 and 347.42

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Solution

The fourth proportional to 359.64, 542.72 and 347.42 is: 524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.64 : 542.72 = 347.42 : x
  2. Step 2: Convert to fraction form
    359.64/542.72 = 347.42/x
  3. Step 3: Cross multiply
    359.64x = 542.72 × 347.42
  4. Step 4: Simplify right side
    359.64x = 188,547.33
  5. Step 5: Solve for x
    x = 188,547.33/359.64
  6. Step 6: Final answer
    x = 524.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.