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Finding the Fourth Proportional to 340.00, 507.51 and 315.97

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Solution

The fourth proportional to 340.00, 507.51 and 315.97 is: 471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.00 : 507.51 = 315.97 : x
  2. Step 2: Convert to fraction form
    340.00/507.51 = 315.97/x
  3. Step 3: Cross multiply
    340.00x = 507.51 × 315.97
  4. Step 4: Simplify right side
    340.00x = 160,356.67
  5. Step 5: Solve for x
    x = 160,356.67/340.00
  6. Step 6: Final answer
    x = 471.64

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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.