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Finding the Fourth Proportional to 551.58, 761.06 and 342

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Solution

The fourth proportional to 551.58, 761.06 and 342 is: 471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.58 : 761.06 = 342 : x
  2. Step 2: Convert to fraction form
    551.58/761.06 = 342/x
  3. Step 3: Cross multiply
    551.58x = 761.06 × 342
  4. Step 4: Simplify right side
    551.58x = 260,280.81
  5. Step 5: Solve for x
    x = 260,280.81/551.58
  6. Step 6: Final answer
    x = 471.88

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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.