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Finding the Fourth Proportional to 554.53, 831.81 and 207.77

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Solution

The fourth proportional to 554.53, 831.81 and 207.77 is: 311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.53 : 831.81 = 207.77 : x
  2. Step 2: Convert to fraction form
    554.53/831.81 = 207.77/x
  3. Step 3: Cross multiply
    554.53x = 831.81 × 207.77
  4. Step 4: Simplify right side
    554.53x = 172,821.00
  5. Step 5: Solve for x
    x = 172,821.00/554.53
  6. Step 6: Final answer
    x = 311.66

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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.