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Finding the Fourth Proportional to 359.23, 538.86 and 176.77

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Solution

The fourth proportional to 359.23, 538.86 and 176.77 is: 265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.23 : 538.86 = 176.77 : x
  2. Step 2: Convert to fraction form
    359.23/538.86 = 176.77/x
  3. Step 3: Cross multiply
    359.23x = 538.86 × 176.77
  4. Step 4: Simplify right side
    359.23x = 95,254.28
  5. Step 5: Solve for x
    x = 95,254.28/359.23
  6. Step 6: Final answer
    x = 265.16

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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.