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Finding the Fourth Proportional to 340.32, 510.30 and 232.14

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Solution

The fourth proportional to 340.32, 510.30 and 232.14 is: 348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.32 : 510.30 = 232.14 : x
  2. Step 2: Convert to fraction form
    340.32/510.30 = 232.14/x
  3. Step 3: Cross multiply
    340.32x = 510.30 × 232.14
  4. Step 4: Simplify right side
    340.32x = 118,461.04
  5. Step 5: Solve for x
    x = 118,461.04/340.32
  6. Step 6: Final answer
    x = 348.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.