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Finding the Fourth Proportional to 289.36, 432.50 and 250.48

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Solution

The fourth proportional to 289.36, 432.50 and 250.48 is: 374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.36 : 432.50 = 250.48 : x
  2. Step 2: Convert to fraction form
    289.36/432.50 = 250.48/x
  3. Step 3: Cross multiply
    289.36x = 432.50 × 250.48
  4. Step 4: Simplify right side
    289.36x = 108,332.60
  5. Step 5: Solve for x
    x = 108,332.60/289.36
  6. Step 6: Final answer
    x = 374.39

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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.