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Finding the Fourth Proportional to 448.01, 618.15 and 261.40

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Solution

The fourth proportional to 448.01, 618.15 and 261.40 is: 360.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.01 : 618.15 = 261.40 : x
  2. Step 2: Convert to fraction form
    448.01/618.15 = 261.40/x
  3. Step 3: Cross multiply
    448.01x = 618.15 × 261.40
  4. Step 4: Simplify right side
    448.01x = 161,581.71
  5. Step 5: Solve for x
    x = 161,581.71/448.01
  6. Step 6: Final answer
    x = 360.66

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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.