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Finding the Fourth Proportional to 314.02, 474.28 and 314.02

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Solution

The fourth proportional to 314.02, 474.28 and 314.02 is: 474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.02 : 474.28 = 314.02 : x
  2. Step 2: Convert to fraction form
    314.02/474.28 = 314.02/x
  3. Step 3: Cross multiply
    314.02x = 474.28 × 314.02
  4. Step 4: Simplify right side
    314.02x = 148,933.41
  5. Step 5: Solve for x
    x = 148,933.41/314.02
  6. Step 6: Final answer
    x = 474.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.