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Finding the Fourth Proportional to 474.02, 653.77 and 308.29

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Solution

The fourth proportional to 474.02, 653.77 and 308.29 is: 425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.02 : 653.77 = 308.29 : x
  2. Step 2: Convert to fraction form
    474.02/653.77 = 308.29/x
  3. Step 3: Cross multiply
    474.02x = 653.77 × 308.29
  4. Step 4: Simplify right side
    474.02x = 201,547.48
  5. Step 5: Solve for x
    x = 201,547.48/474.02
  6. Step 6: Final answer
    x = 425.19

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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.