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Finding the Fourth Proportional to 340.11, 507.40 and 315.30

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Solution

The fourth proportional to 340.11, 507.40 and 315.30 is: 470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.11 : 507.40 = 315.30 : x
  2. Step 2: Convert to fraction form
    340.11/507.40 = 315.30/x
  3. Step 3: Cross multiply
    340.11x = 507.40 × 315.30
  4. Step 4: Simplify right side
    340.11x = 159,983.22
  5. Step 5: Solve for x
    x = 159,983.22/340.11
  6. Step 6: Final answer
    x = 470.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.