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Finding the Fourth Proportional to 254.88, 383.04 and 246.24

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Solution

The fourth proportional to 254.88, 383.04 and 246.24 is: 370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.88 : 383.04 = 246.24 : x
  2. Step 2: Convert to fraction form
    254.88/383.04 = 246.24/x
  3. Step 3: Cross multiply
    254.88x = 383.04 × 246.24
  4. Step 4: Simplify right side
    254.88x = 94,319.77
  5. Step 5: Solve for x
    x = 94,319.77/254.88
  6. Step 6: Final answer
    x = 370.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.