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Finding the Fourth Proportional to 305.51, 458.28 and 97.29

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Solution

The fourth proportional to 305.51, 458.28 and 97.29 is: 145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.51 : 458.28 = 97.29 : x
  2. Step 2: Convert to fraction form
    305.51/458.28 = 97.29/x
  3. Step 3: Cross multiply
    305.51x = 458.28 × 97.29
  4. Step 4: Simplify right side
    305.51x = 44,586.06
  5. Step 5: Solve for x
    x = 44,586.06/305.51
  6. Step 6: Final answer
    x = 145.94

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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.