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Finding the Fourth Proportional to 463.02, 697.22 and 342.12

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Solution

The fourth proportional to 463.02, 697.22 and 342.12 is: 515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 697.22 = 342.12 : x
  2. Step 2: Convert to fraction form
    463.02/697.22 = 342.12/x
  3. Step 3: Cross multiply
    463.02x = 697.22 × 342.12
  4. Step 4: Simplify right side
    463.02x = 238,532.91
  5. Step 5: Solve for x
    x = 238,532.91/463.02
  6. Step 6: Final answer
    x = 515.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.