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Finding the Fourth Proportional to 359.40, 535.71 and 320.14

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Solution

The fourth proportional to 359.40, 535.71 and 320.14 is: 477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.40 : 535.71 = 320.14 : x
  2. Step 2: Convert to fraction form
    359.40/535.71 = 320.14/x
  3. Step 3: Cross multiply
    359.40x = 535.71 × 320.14
  4. Step 4: Simplify right side
    359.40x = 171,502.20
  5. Step 5: Solve for x
    x = 171,502.20/359.40
  6. Step 6: Final answer
    x = 477.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.