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Finding the Fourth Proportional to 501.40, 750.20 and 296.08

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Solution

The fourth proportional to 501.40, 750.20 and 296.08 is: 442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.40 : 750.20 = 296.08 : x
  2. Step 2: Convert to fraction form
    501.40/750.20 = 296.08/x
  3. Step 3: Cross multiply
    501.40x = 750.20 × 296.08
  4. Step 4: Simplify right side
    501.40x = 222,115.47
  5. Step 5: Solve for x
    x = 222,115.47/501.40
  6. Step 6: Final answer
    x = 442.99

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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.