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Finding the Fourth Proportional to 457.32, 631.30 and 309.88

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Solution

The fourth proportional to 457.32, 631.30 and 309.88 is: 427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.32 : 631.30 = 309.88 : x
  2. Step 2: Convert to fraction form
    457.32/631.30 = 309.88/x
  3. Step 3: Cross multiply
    457.32x = 631.30 × 309.88
  4. Step 4: Simplify right side
    457.32x = 195,627.24
  5. Step 5: Solve for x
    x = 195,627.24/457.32
  6. Step 6: Final answer
    x = 427.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.