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Finding the Fourth Proportional to 359.53, 542.53 and 346.66

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Solution

The fourth proportional to 359.53, 542.53 and 346.66 is: 523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.53 : 542.53 = 346.66 : x
  2. Step 2: Convert to fraction form
    359.53/542.53 = 346.66/x
  3. Step 3: Cross multiply
    359.53x = 542.53 × 346.66
  4. Step 4: Simplify right side
    359.53x = 188,072.53
  5. Step 5: Solve for x
    x = 188,072.53/359.53
  6. Step 6: Final answer
    x = 523.11

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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.