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Finding the Fourth Proportional to 473.21, 710.21 and 242.25

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Solution

The fourth proportional to 473.21, 710.21 and 242.25 is: 363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.21 : 710.21 = 242.25 : x
  2. Step 2: Convert to fraction form
    473.21/710.21 = 242.25/x
  3. Step 3: Cross multiply
    473.21x = 710.21 × 242.25
  4. Step 4: Simplify right side
    473.21x = 172,047.16
  5. Step 5: Solve for x
    x = 172,047.16/473.21
  6. Step 6: Final answer
    x = 363.58

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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.