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Finding the Fourth Proportional to 473.52, 710.26 and 144.45

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Solution

The fourth proportional to 473.52, 710.26 and 144.45 is: 216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.52 : 710.26 = 144.45 : x
  2. Step 2: Convert to fraction form
    473.52/710.26 = 144.45/x
  3. Step 3: Cross multiply
    473.52x = 710.26 × 144.45
  4. Step 4: Simplify right side
    473.52x = 102,593.51
  5. Step 5: Solve for x
    x = 102,593.51/473.52
  6. Step 6: Final answer
    x = 216.66

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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.