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Finding the Fourth Proportional to 289.93, 434.25 and 145.35

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Solution

The fourth proportional to 289.93, 434.25 and 145.35 is: 217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.93 : 434.25 = 145.35 : x
  2. Step 2: Convert to fraction form
    289.93/434.25 = 145.35/x
  3. Step 3: Cross multiply
    289.93x = 434.25 × 145.35
  4. Step 4: Simplify right side
    289.93x = 63,116.07
  5. Step 5: Solve for x
    x = 63,116.07/289.93
  6. Step 6: Final answer
    x = 217.69

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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.