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Finding the Fourth Proportional to 473.42, 710.54 and 213.82

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Solution

The fourth proportional to 473.42, 710.54 and 213.82 is: 320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.42 : 710.54 = 213.82 : x
  2. Step 2: Convert to fraction form
    473.42/710.54 = 213.82/x
  3. Step 3: Cross multiply
    473.42x = 710.54 × 213.82
  4. Step 4: Simplify right side
    473.42x = 151,927.66
  5. Step 5: Solve for x
    x = 151,927.66/473.42
  6. Step 6: Final answer
    x = 320.92

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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.