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Finding the Fourth Proportional to 471.47, 707.13 and 146.84

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Solution

The fourth proportional to 471.47, 707.13 and 146.84 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.47 : 707.13 = 146.84 : x
  2. Step 2: Convert to fraction form
    471.47/707.13 = 146.84/x
  3. Step 3: Cross multiply
    471.47x = 707.13 × 146.84
  4. Step 4: Simplify right side
    471.47x = 103,831.43
  5. Step 5: Solve for x
    x = 103,831.43/471.47
  6. Step 6: Final answer
    x = 220.23

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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.