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Finding the Fourth Proportional to 289.84, 431.48 and 275.80

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Solution

The fourth proportional to 289.84, 431.48 and 275.80 is: 410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.84 : 431.48 = 275.80 : x
  2. Step 2: Convert to fraction form
    289.84/431.48 = 275.80/x
  3. Step 3: Cross multiply
    289.84x = 431.48 × 275.80
  4. Step 4: Simplify right side
    289.84x = 119,002.18
  5. Step 5: Solve for x
    x = 119,002.18/289.84
  6. Step 6: Final answer
    x = 410.58

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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.