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Finding the Fourth Proportional to 340.60, 507.96 and 307.80

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Solution

The fourth proportional to 340.60, 507.96 and 307.80 is: 459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.60 : 507.96 = 307.80 : x
  2. Step 2: Convert to fraction form
    340.60/507.96 = 307.80/x
  3. Step 3: Cross multiply
    340.60x = 507.96 × 307.80
  4. Step 4: Simplify right side
    340.60x = 156,350.09
  5. Step 5: Solve for x
    x = 156,350.09/340.60
  6. Step 6: Final answer
    x = 459.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.