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Finding the Fourth Proportional to 294.16, 405.96 and 242.32

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Solution

The fourth proportional to 294.16, 405.96 and 242.32 is: 334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.16 : 405.96 = 242.32 : x
  2. Step 2: Convert to fraction form
    294.16/405.96 = 242.32/x
  3. Step 3: Cross multiply
    294.16x = 405.96 × 242.32
  4. Step 4: Simplify right side
    294.16x = 98,372.23
  5. Step 5: Solve for x
    x = 98,372.23/294.16
  6. Step 6: Final answer
    x = 334.42

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Why These Related Problems?

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