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Finding the Fourth Proportional to 538.49, 807.78 and 148.49

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Solution

The fourth proportional to 538.49, 807.78 and 148.49 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.49 : 807.78 = 148.49 : x
  2. Step 2: Convert to fraction form
    538.49/807.78 = 148.49/x
  3. Step 3: Cross multiply
    538.49x = 807.78 × 148.49
  4. Step 4: Simplify right side
    538.49x = 119,947.25
  5. Step 5: Solve for x
    x = 119,947.25/538.49
  6. Step 6: Final answer
    x = 222.75

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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.