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Finding the Fourth Proportional to 971.34, 1,457.00 and 240.92

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Solution

The fourth proportional to 971.34, 1,457.00 and 240.92 is: 361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.34 : 1,457.00 = 240.92 : x
  2. Step 2: Convert to fraction form
    971.34/1,457.00 = 240.92/x
  3. Step 3: Cross multiply
    971.34x = 1,457.00 × 240.92
  4. Step 4: Simplify right side
    971.34x = 351,011.95
  5. Step 5: Solve for x
    x = 351,011.95/971.34
  6. Step 6: Final answer
    x = 361.37

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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.