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Finding the Fourth Proportional to 458.61, 633.15 and 301.50

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Solution

The fourth proportional to 458.61, 633.15 and 301.50 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.61 : 633.15 = 301.50 : x
  2. Step 2: Convert to fraction form
    458.61/633.15 = 301.50/x
  3. Step 3: Cross multiply
    458.61x = 633.15 × 301.50
  4. Step 4: Simplify right side
    458.61x = 190,894.73
  5. Step 5: Solve for x
    x = 190,894.73/458.61
  6. Step 6: Final answer
    x = 416.25

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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.