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Finding the Fourth Proportional to 359.79, 538.02 and 309.06

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Solution

The fourth proportional to 359.79, 538.02 and 309.06 is: 462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.79 : 538.02 = 309.06 : x
  2. Step 2: Convert to fraction form
    359.79/538.02 = 309.06/x
  3. Step 3: Cross multiply
    359.79x = 538.02 × 309.06
  4. Step 4: Simplify right side
    359.79x = 166,280.46
  5. Step 5: Solve for x
    x = 166,280.46/359.79
  6. Step 6: Final answer
    x = 462.16

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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.