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Finding the Fourth Proportional to 415, 572.48 and 259.48

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Solution

The fourth proportional to 415, 572.48 and 259.48 is: 357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 572.48 = 259.48 : x
  2. Step 2: Convert to fraction form
    415/572.48 = 259.48/x
  3. Step 3: Cross multiply
    415x = 572.48 × 259.48
  4. Step 4: Simplify right side
    415x = 148,547.11
  5. Step 5: Solve for x
    x = 148,547.11/415
  6. Step 6: Final answer
    x = 357.94

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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.