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Finding the Fourth Proportional to 340.84, 469.78 and 270.58

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Solution

The fourth proportional to 340.84, 469.78 and 270.58 is: 372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.84 : 469.78 = 270.58 : x
  2. Step 2: Convert to fraction form
    340.84/469.78 = 270.58/x
  3. Step 3: Cross multiply
    340.84x = 469.78 × 270.58
  4. Step 4: Simplify right side
    340.84x = 127,113.07
  5. Step 5: Solve for x
    x = 127,113.07/340.84
  6. Step 6: Final answer
    x = 372.94

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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.