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Finding the Fourth Proportional to 474.08, 653.67 and 308.06

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Solution

The fourth proportional to 474.08, 653.67 and 308.06 is: 424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.08 : 653.67 = 308.06 : x
  2. Step 2: Convert to fraction form
    474.08/653.67 = 308.06/x
  3. Step 3: Cross multiply
    474.08x = 653.67 × 308.06
  4. Step 4: Simplify right side
    474.08x = 201,369.58
  5. Step 5: Solve for x
    x = 201,369.58/474.08
  6. Step 6: Final answer
    x = 424.76

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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.