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Finding the Fourth Proportional to 554.84, 831.14 and 261.93

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Solution

The fourth proportional to 554.84, 831.14 and 261.93 is: 392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.84 : 831.14 = 261.93 : x
  2. Step 2: Convert to fraction form
    554.84/831.14 = 261.93/x
  3. Step 3: Cross multiply
    554.84x = 831.14 × 261.93
  4. Step 4: Simplify right side
    554.84x = 217,700.50
  5. Step 5: Solve for x
    x = 217,700.50/554.84
  6. Step 6: Final answer
    x = 392.37

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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.