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Finding the Fourth Proportional to 359.92, 497.17 and 290.25

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Solution

The fourth proportional to 359.92, 497.17 and 290.25 is: 400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.92 : 497.17 = 290.25 : x
  2. Step 2: Convert to fraction form
    359.92/497.17 = 290.25/x
  3. Step 3: Cross multiply
    359.92x = 497.17 × 290.25
  4. Step 4: Simplify right side
    359.92x = 144,303.59
  5. Step 5: Solve for x
    x = 144,303.59/359.92
  6. Step 6: Final answer
    x = 400.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.