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Finding the Fourth Proportional to 448.68, 618.84 and 293.16

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Solution

The fourth proportional to 448.68, 618.84 and 293.16 is: 404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.68 : 618.84 = 293.16 : x
  2. Step 2: Convert to fraction form
    448.68/618.84 = 293.16/x
  3. Step 3: Cross multiply
    448.68x = 618.84 × 293.16
  4. Step 4: Simplify right side
    448.68x = 181,419.13
  5. Step 5: Solve for x
    x = 181,419.13/448.68
  6. Step 6: Final answer
    x = 404.34

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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.