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Finding the Fourth Proportional to 458.76, 633.20 and 301.54

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Solution

The fourth proportional to 458.76, 633.20 and 301.54 is: 416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.76 : 633.20 = 301.54 : x
  2. Step 2: Convert to fraction form
    458.76/633.20 = 301.54/x
  3. Step 3: Cross multiply
    458.76x = 633.20 × 301.54
  4. Step 4: Simplify right side
    458.76x = 190,935.13
  5. Step 5: Solve for x
    x = 190,935.13/458.76
  6. Step 6: Final answer
    x = 416.20

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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.