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Finding the Fourth Proportional to 305.47, 458.01 and 143.23

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Solution

The fourth proportional to 305.47, 458.01 and 143.23 is: 214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.47 : 458.01 = 143.23 : x
  2. Step 2: Convert to fraction form
    305.47/458.01 = 143.23/x
  3. Step 3: Cross multiply
    305.47x = 458.01 × 143.23
  4. Step 4: Simplify right side
    305.47x = 65,600.06
  5. Step 5: Solve for x
    x = 65,600.06/305.47
  6. Step 6: Final answer
    x = 214.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.