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Finding the Fourth Proportional to 314.48, 474.05 and 260.72

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Solution

The fourth proportional to 314.48, 474.05 and 260.72 is: 393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.48 : 474.05 = 260.72 : x
  2. Step 2: Convert to fraction form
    314.48/474.05 = 260.72/x
  3. Step 3: Cross multiply
    314.48x = 474.05 × 260.72
  4. Step 4: Simplify right side
    314.48x = 123,594.38
  5. Step 5: Solve for x
    x = 123,594.38/314.48
  6. Step 6: Final answer
    x = 393.01

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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.