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Finding the Fourth Proportional to 314.71, 474.40 and 287.37

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Solution

The fourth proportional to 314.71, 474.40 and 287.37 is: 433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.71 : 474.40 = 287.37 : x
  2. Step 2: Convert to fraction form
    314.71/474.40 = 287.37/x
  3. Step 3: Cross multiply
    314.71x = 474.40 × 287.37
  4. Step 4: Simplify right side
    314.71x = 136,328.33
  5. Step 5: Solve for x
    x = 136,328.33/314.71
  6. Step 6: Final answer
    x = 433.19

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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.