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Finding the Fourth Proportional to 448.06, 618.16 and 261.53

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Solution

The fourth proportional to 448.06, 618.16 and 261.53 is: 360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.06 : 618.16 = 261.53 : x
  2. Step 2: Convert to fraction form
    448.06/618.16 = 261.53/x
  3. Step 3: Cross multiply
    448.06x = 618.16 × 261.53
  4. Step 4: Simplify right side
    448.06x = 161,665.71
  5. Step 5: Solve for x
    x = 161,665.71/448.06
  6. Step 6: Final answer
    x = 360.82

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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.