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Finding the Fourth Proportional to 315.33, 435.47 and 260.25

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Solution

The fourth proportional to 315.33, 435.47 and 260.25 is: 359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.33 : 435.47 = 260.25 : x
  2. Step 2: Convert to fraction form
    315.33/435.47 = 260.25/x
  3. Step 3: Cross multiply
    315.33x = 435.47 × 260.25
  4. Step 4: Simplify right side
    315.33x = 113,331.07
  5. Step 5: Solve for x
    x = 113,331.07/315.33
  6. Step 6: Final answer
    x = 359.40

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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.