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Finding the Fourth Proportional to 473.02, 709.49 and 148.38

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Solution

The fourth proportional to 473.02, 709.49 and 148.38 is: 222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.02 : 709.49 = 148.38 : x
  2. Step 2: Convert to fraction form
    473.02/709.49 = 148.38/x
  3. Step 3: Cross multiply
    473.02x = 709.49 × 148.38
  4. Step 4: Simplify right side
    473.02x = 105,270.58
  5. Step 5: Solve for x
    x = 105,270.58/473.02
  6. Step 6: Final answer
    x = 222.55

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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.