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Finding the Fourth Proportional to 310.98, 464.24 and 288.48

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Solution

The fourth proportional to 310.98, 464.24 and 288.48 is: 430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.98 : 464.24 = 288.48 : x
  2. Step 2: Convert to fraction form
    310.98/464.24 = 288.48/x
  3. Step 3: Cross multiply
    310.98x = 464.24 × 288.48
  4. Step 4: Simplify right side
    310.98x = 133,922.51
  5. Step 5: Solve for x
    x = 133,922.51/310.98
  6. Step 6: Final answer
    x = 430.65

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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.