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Finding the Fourth Proportional to 458.40, 632.48 and 290.34

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Solution

The fourth proportional to 458.40, 632.48 and 290.34 is: 400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.40 : 632.48 = 290.34 : x
  2. Step 2: Convert to fraction form
    458.40/632.48 = 290.34/x
  3. Step 3: Cross multiply
    458.40x = 632.48 × 290.34
  4. Step 4: Simplify right side
    458.40x = 183,634.97
  5. Step 5: Solve for x
    x = 183,634.97/458.40
  6. Step 6: Final answer
    x = 400.60

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Why These Related Problems?

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