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Finding the Fourth Proportional to 538.90, 807.78 and 307.29

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Solution

The fourth proportional to 538.90, 807.78 and 307.29 is: 460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.90 : 807.78 = 307.29 : x
  2. Step 2: Convert to fraction form
    538.90/807.78 = 307.29/x
  3. Step 3: Cross multiply
    538.90x = 807.78 × 307.29
  4. Step 4: Simplify right side
    538.90x = 248,223.97
  5. Step 5: Solve for x
    x = 248,223.97/538.90
  6. Step 6: Final answer
    x = 460.61

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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.