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Finding the Fourth Proportional to 340.20, 507.60 and 286.20

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Solution

The fourth proportional to 340.20, 507.60 and 286.20 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.20 : 507.60 = 286.20 : x
  2. Step 2: Convert to fraction form
    340.20/507.60 = 286.20/x
  3. Step 3: Cross multiply
    340.20x = 507.60 × 286.20
  4. Step 4: Simplify right side
    340.20x = 145,275.12
  5. Step 5: Solve for x
    x = 145,275.12/340.20
  6. Step 6: Final answer
    x = 427.03

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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.