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Finding the Fourth Proportional to 359.99, 540.04 and 177.40

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Solution

The fourth proportional to 359.99, 540.04 and 177.40 is: 266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.99 : 540.04 = 177.40 : x
  2. Step 2: Convert to fraction form
    359.99/540.04 = 177.40/x
  3. Step 3: Cross multiply
    359.99x = 540.04 × 177.40
  4. Step 4: Simplify right side
    359.99x = 95,803.10
  5. Step 5: Solve for x
    x = 95,803.10/359.99
  6. Step 6: Final answer
    x = 266.13

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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.