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Finding the Fourth Proportional to 608, 912.36 and 261.32

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Solution

The fourth proportional to 608, 912.36 and 261.32 is: 392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    608 : 912.36 = 261.32 : x
  2. Step 2: Convert to fraction form
    608/912.36 = 261.32/x
  3. Step 3: Cross multiply
    608x = 912.36 × 261.32
  4. Step 4: Simplify right side
    608x = 238,417.92
  5. Step 5: Solve for x
    x = 238,417.92/608
  6. Step 6: Final answer
    x = 392.13

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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.