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Finding the Fourth Proportional to 318.04, 474.35 and 274.21

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Solution

The fourth proportional to 318.04, 474.35 and 274.21 is: 408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.04 : 474.35 = 274.21 : x
  2. Step 2: Convert to fraction form
    318.04/474.35 = 274.21/x
  3. Step 3: Cross multiply
    318.04x = 474.35 × 274.21
  4. Step 4: Simplify right side
    318.04x = 130,071.51
  5. Step 5: Solve for x
    x = 130,071.51/318.04
  6. Step 6: Final answer
    x = 408.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.