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Finding the Fourth Proportional to 310.64, 463.66 and 274.58

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Solution

The fourth proportional to 310.64, 463.66 and 274.58 is: 409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.64 : 463.66 = 274.58 : x
  2. Step 2: Convert to fraction form
    310.64/463.66 = 274.58/x
  3. Step 3: Cross multiply
    310.64x = 463.66 × 274.58
  4. Step 4: Simplify right side
    310.64x = 127,311.76
  5. Step 5: Solve for x
    x = 127,311.76/310.64
  6. Step 6: Final answer
    x = 409.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.