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Finding the Fourth Proportional to 289.62, 430.88 and 272.34

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Solution

The fourth proportional to 289.62, 430.88 and 272.34 is: 405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.62 : 430.88 = 272.34 : x
  2. Step 2: Convert to fraction form
    289.62/430.88 = 272.34/x
  3. Step 3: Cross multiply
    289.62x = 430.88 × 272.34
  4. Step 4: Simplify right side
    289.62x = 117,344.50
  5. Step 5: Solve for x
    x = 117,344.50/289.62
  6. Step 6: Final answer
    x = 405.17

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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.