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Finding the Fourth Proportional to 289.86, 432.52 and 259.17

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Solution

The fourth proportional to 289.86, 432.52 and 259.17 is: 386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.86 : 432.52 = 259.17 : x
  2. Step 2: Convert to fraction form
    289.86/432.52 = 259.17/x
  3. Step 3: Cross multiply
    289.86x = 432.52 × 259.17
  4. Step 4: Simplify right side
    289.86x = 112,096.21
  5. Step 5: Solve for x
    x = 112,096.21/289.86
  6. Step 6: Final answer
    x = 386.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.