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Finding the Fourth Proportional to 459, 633.42 and 342.36

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Solution

The fourth proportional to 459, 633.42 and 342.36 is: 472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459 : 633.42 = 342.36 : x
  2. Step 2: Convert to fraction form
    459/633.42 = 342.36/x
  3. Step 3: Cross multiply
    459x = 633.42 × 342.36
  4. Step 4: Simplify right side
    459x = 216,857.67
  5. Step 5: Solve for x
    x = 216,857.67/459
  6. Step 6: Final answer
    x = 472.46

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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.