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Finding the Fourth Proportional to 553.74, 831.13 and 207.40

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Solution

The fourth proportional to 553.74, 831.13 and 207.40 is: 311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.74 : 831.13 = 207.40 : x
  2. Step 2: Convert to fraction form
    553.74/831.13 = 207.40/x
  3. Step 3: Cross multiply
    553.74x = 831.13 × 207.40
  4. Step 4: Simplify right side
    553.74x = 172,376.36
  5. Step 5: Solve for x
    x = 172,376.36/553.74
  6. Step 6: Final answer
    x = 311.29

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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.