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Finding the Fourth Proportional to 340, 470 and 309.64

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Solution

The fourth proportional to 340, 470 and 309.64 is: 428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340 : 470 = 309.64 : x
  2. Step 2: Convert to fraction form
    340/470 = 309.64/x
  3. Step 3: Cross multiply
    340x = 470 × 309.64
  4. Step 4: Simplify right side
    340x = 145,530.80
  5. Step 5: Solve for x
    x = 145,530.80/340
  6. Step 6: Final answer
    x = 428.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.