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Finding the Fourth Proportional to 289.76, 434.66 and 145.56

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Solution

The fourth proportional to 289.76, 434.66 and 145.56 is: 218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.76 : 434.66 = 145.56 : x
  2. Step 2: Convert to fraction form
    289.76/434.66 = 145.56/x
  3. Step 3: Cross multiply
    289.76x = 434.66 × 145.56
  4. Step 4: Simplify right side
    289.76x = 63,269.11
  5. Step 5: Solve for x
    x = 63,269.11/289.76
  6. Step 6: Final answer
    x = 218.35

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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.