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Finding the Fourth Proportional to 340.76, 469.82 and 253.40

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Solution

The fourth proportional to 340.76, 469.82 and 253.40 is: 349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.76 : 469.82 = 253.40 : x
  2. Step 2: Convert to fraction form
    340.76/469.82 = 253.40/x
  3. Step 3: Cross multiply
    340.76x = 469.82 × 253.40
  4. Step 4: Simplify right side
    340.76x = 119,052.39
  5. Step 5: Solve for x
    x = 119,052.39/340.76
  6. Step 6: Final answer
    x = 349.37

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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.