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Finding the Fourth Proportional to 315.10, 434.51 and 289.99

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Solution

The fourth proportional to 315.10, 434.51 and 289.99 is: 399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.10 : 434.51 = 289.99 : x
  2. Step 2: Convert to fraction form
    315.10/434.51 = 289.99/x
  3. Step 3: Cross multiply
    315.10x = 434.51 × 289.99
  4. Step 4: Simplify right side
    315.10x = 126,003.23
  5. Step 5: Solve for x
    x = 126,003.23/315.10
  6. Step 6: Final answer
    x = 399.88

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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.