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Finding the Fourth Proportional to 458.65, 632.81 and 293.03

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Solution

The fourth proportional to 458.65, 632.81 and 293.03 is: 404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.65 : 632.81 = 293.03 : x
  2. Step 2: Convert to fraction form
    458.65/632.81 = 293.03/x
  3. Step 3: Cross multiply
    458.65x = 632.81 × 293.03
  4. Step 4: Simplify right side
    458.65x = 185,430.06
  5. Step 5: Solve for x
    x = 185,430.06/458.65
  6. Step 6: Final answer
    x = 404.29

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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.