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Finding the Fourth Proportional to 254.40, 352.80 and 242.40

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Solution

The fourth proportional to 254.40, 352.80 and 242.40 is: 336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.40 : 352.80 = 242.40 : x
  2. Step 2: Convert to fraction form
    254.40/352.80 = 242.40/x
  3. Step 3: Cross multiply
    254.40x = 352.80 × 242.40
  4. Step 4: Simplify right side
    254.40x = 85,518.72
  5. Step 5: Solve for x
    x = 85,518.72/254.40
  6. Step 6: Final answer
    x = 336.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.