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Finding the Fourth Proportional to 289.95, 434.91 and 97.57

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Solution

The fourth proportional to 289.95, 434.91 and 97.57 is: 146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.95 : 434.91 = 97.57 : x
  2. Step 2: Convert to fraction form
    289.95/434.91 = 97.57/x
  3. Step 3: Cross multiply
    289.95x = 434.91 × 97.57
  4. Step 4: Simplify right side
    289.95x = 42,434.17
  5. Step 5: Solve for x
    x = 42,434.17/289.95
  6. Step 6: Final answer
    x = 146.35

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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.