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Finding the Fourth Proportional to 335.66, 463.15 and 257.07

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Solution

The fourth proportional to 335.66, 463.15 and 257.07 is: 354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.66 : 463.15 = 257.07 : x
  2. Step 2: Convert to fraction form
    335.66/463.15 = 257.07/x
  3. Step 3: Cross multiply
    335.66x = 463.15 × 257.07
  4. Step 4: Simplify right side
    335.66x = 119,064.03
  5. Step 5: Solve for x
    x = 119,064.03/335.66
  6. Step 6: Final answer
    x = 354.72

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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.