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Finding the Fourth Proportional to 551.66, 761.40 and 342.03

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Solution

The fourth proportional to 551.66, 761.40 and 342.03 is: 472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.66 : 761.40 = 342.03 : x
  2. Step 2: Convert to fraction form
    551.66/761.40 = 342.03/x
  3. Step 3: Cross multiply
    551.66x = 761.40 × 342.03
  4. Step 4: Simplify right side
    551.66x = 260,421.64
  5. Step 5: Solve for x
    x = 260,421.64/551.66
  6. Step 6: Final answer
    x = 472.07

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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.