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Finding the Fourth Proportional to 471.64, 707.28 and 240.45

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Solution

The fourth proportional to 471.64, 707.28 and 240.45 is: 360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 707.28 = 240.45 : x
  2. Step 2: Convert to fraction form
    471.64/707.28 = 240.45/x
  3. Step 3: Cross multiply
    471.64x = 707.28 × 240.45
  4. Step 4: Simplify right side
    471.64x = 170,065.48
  5. Step 5: Solve for x
    x = 170,065.48/471.64
  6. Step 6: Final answer
    x = 360.58

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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.