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Finding the Fourth Proportional to 433.14, 652.25 and 312.24

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Solution

The fourth proportional to 433.14, 652.25 and 312.24 is: 470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.14 : 652.25 = 312.24 : x
  2. Step 2: Convert to fraction form
    433.14/652.25 = 312.24/x
  3. Step 3: Cross multiply
    433.14x = 652.25 × 312.24
  4. Step 4: Simplify right side
    433.14x = 203,659.32
  5. Step 5: Solve for x
    x = 203,659.32/433.14
  6. Step 6: Final answer
    x = 470.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.