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Finding the Fourth Proportional to 314.48, 435.75 and 309.02

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Solution

The fourth proportional to 314.48, 435.75 and 309.02 is: 428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.48 : 435.75 = 309.02 : x
  2. Step 2: Convert to fraction form
    314.48/435.75 = 309.02/x
  3. Step 3: Cross multiply
    314.48x = 435.75 × 309.02
  4. Step 4: Simplify right side
    314.48x = 134,652.13
  5. Step 5: Solve for x
    x = 134,652.13/314.48
  6. Step 6: Final answer
    x = 428.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.