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Finding the Fourth Proportional to 310.84, 463.22 and 288.98

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Solution

The fourth proportional to 310.84, 463.22 and 288.98 is: 430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.84 : 463.22 = 288.98 : x
  2. Step 2: Convert to fraction form
    310.84/463.22 = 288.98/x
  3. Step 3: Cross multiply
    310.84x = 463.22 × 288.98
  4. Step 4: Simplify right side
    310.84x = 133,861.32
  5. Step 5: Solve for x
    x = 133,861.32/310.84
  6. Step 6: Final answer
    x = 430.64

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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.