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Finding the Fourth Proportional to 310.60, 463.36 and 288.50

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Solution

The fourth proportional to 310.60, 463.36 and 288.50 is: 430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.60 : 463.36 = 288.50 : x
  2. Step 2: Convert to fraction form
    310.60/463.36 = 288.50/x
  3. Step 3: Cross multiply
    310.60x = 463.36 × 288.50
  4. Step 4: Simplify right side
    310.60x = 133,679.80
  5. Step 5: Solve for x
    x = 133,679.80/310.60
  6. Step 6: Final answer
    x = 430.40

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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.