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Finding the Fourth Proportional to 335.66, 463.27 and 242.71

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Solution

The fourth proportional to 335.66, 463.27 and 242.71 is: 334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.66 : 463.27 = 242.71 : x
  2. Step 2: Convert to fraction form
    335.66/463.27 = 242.71/x
  3. Step 3: Cross multiply
    335.66x = 463.27 × 242.71
  4. Step 4: Simplify right side
    335.66x = 112,440.26
  5. Step 5: Solve for x
    x = 112,440.26/335.66
  6. Step 6: Final answer
    x = 334.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.