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Finding the Fourth Proportional to 585.24, 877.38 and 243

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Solution

The fourth proportional to 585.24, 877.38 and 243 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 877.38 = 243 : x
  2. Step 2: Convert to fraction form
    585.24/877.38 = 243/x
  3. Step 3: Cross multiply
    585.24x = 877.38 × 243
  4. Step 4: Simplify right side
    585.24x = 213,203.34
  5. Step 5: Solve for x
    x = 213,203.34/585.24
  6. Step 6: Final answer
    x = 364.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.