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Finding the Fourth Proportional to 360.99, 538.05 and 340.49

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Solution

The fourth proportional to 360.99, 538.05 and 340.49 is: 507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.99 : 538.05 = 340.49 : x
  2. Step 2: Convert to fraction form
    360.99/538.05 = 340.49/x
  3. Step 3: Cross multiply
    360.99x = 538.05 × 340.49
  4. Step 4: Simplify right side
    360.99x = 183,197.95
  5. Step 5: Solve for x
    x = 183,197.95/360.99
  6. Step 6: Final answer
    x = 507.49

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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.