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Finding the Fourth Proportional to 289.90, 432.62 and 259.14

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Solution

The fourth proportional to 289.90, 432.62 and 259.14 is: 386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.90 : 432.62 = 259.14 : x
  2. Step 2: Convert to fraction form
    289.90/432.62 = 259.14/x
  3. Step 3: Cross multiply
    289.90x = 432.62 × 259.14
  4. Step 4: Simplify right side
    289.90x = 112,109.15
  5. Step 5: Solve for x
    x = 112,109.15/289.90
  6. Step 6: Final answer
    x = 386.72

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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.