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Finding the Fourth Proportional to 314.51, 471.15 and 303.31

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Solution

The fourth proportional to 314.51, 471.15 and 303.31 is: 454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.51 : 471.15 = 303.31 : x
  2. Step 2: Convert to fraction form
    314.51/471.15 = 303.31/x
  3. Step 3: Cross multiply
    314.51x = 471.15 × 303.31
  4. Step 4: Simplify right side
    314.51x = 142,904.51
  5. Step 5: Solve for x
    x = 142,904.51/314.51
  6. Step 6: Final answer
    x = 454.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.