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Finding the Fourth Proportional to 555.34, 831.38 and 349.34

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Solution

The fourth proportional to 555.34, 831.38 and 349.34 is: 522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.34 : 831.38 = 349.34 : x
  2. Step 2: Convert to fraction form
    555.34/831.38 = 349.34/x
  3. Step 3: Cross multiply
    555.34x = 831.38 × 349.34
  4. Step 4: Simplify right side
    555.34x = 290,434.29
  5. Step 5: Solve for x
    x = 290,434.29/555.34
  6. Step 6: Final answer
    x = 522.98

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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.