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Finding the Fourth Proportional to 315.33, 434.73 and 259.10

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Solution

The fourth proportional to 315.33, 434.73 and 259.10 is: 357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.33 : 434.73 = 259.10 : x
  2. Step 2: Convert to fraction form
    315.33/434.73 = 259.10/x
  3. Step 3: Cross multiply
    315.33x = 434.73 × 259.10
  4. Step 4: Simplify right side
    315.33x = 112,638.54
  5. Step 5: Solve for x
    x = 112,638.54/315.33
  6. Step 6: Final answer
    x = 357.21

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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.