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Finding the Fourth Proportional to 457.40, 631.26 and 260.88

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Solution

The fourth proportional to 457.40, 631.26 and 260.88 is: 360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 631.26 = 260.88 : x
  2. Step 2: Convert to fraction form
    457.40/631.26 = 260.88/x
  3. Step 3: Cross multiply
    457.40x = 631.26 × 260.88
  4. Step 4: Simplify right side
    457.40x = 164,683.11
  5. Step 5: Solve for x
    x = 164,683.11/457.40
  6. Step 6: Final answer
    x = 360.04

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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.