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Finding the Fourth Proportional to 340.72, 469.96 and 242.32

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Solution

The fourth proportional to 340.72, 469.96 and 242.32 is: 334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.72 : 469.96 = 242.32 : x
  2. Step 2: Convert to fraction form
    340.72/469.96 = 242.32/x
  3. Step 3: Cross multiply
    340.72x = 469.96 × 242.32
  4. Step 4: Simplify right side
    340.72x = 113,880.71
  5. Step 5: Solve for x
    x = 113,880.71/340.72
  6. Step 6: Final answer
    x = 334.24

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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.