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Finding the Fourth Proportional to 359.08, 535.72 and 307.12

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Solution

The fourth proportional to 359.08, 535.72 and 307.12 is: 458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.08 : 535.72 = 307.12 : x
  2. Step 2: Convert to fraction form
    359.08/535.72 = 307.12/x
  3. Step 3: Cross multiply
    359.08x = 535.72 × 307.12
  4. Step 4: Simplify right side
    359.08x = 164,530.33
  5. Step 5: Solve for x
    x = 164,530.33/359.08
  6. Step 6: Final answer
    x = 458.20

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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.