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Finding the Fourth Proportional to 359.32, 541.74 and 288.04

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Solution

The fourth proportional to 359.32, 541.74 and 288.04 is: 434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.32 : 541.74 = 288.04 : x
  2. Step 2: Convert to fraction form
    359.32/541.74 = 288.04/x
  3. Step 3: Cross multiply
    359.32x = 541.74 × 288.04
  4. Step 4: Simplify right side
    359.32x = 156,042.79
  5. Step 5: Solve for x
    x = 156,042.79/359.32
  6. Step 6: Final answer
    x = 434.27

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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.