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Finding the Fourth Proportional to 369.95, 510.24 and 245.57

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Solution

The fourth proportional to 369.95, 510.24 and 245.57 is: 338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.95 : 510.24 = 245.57 : x
  2. Step 2: Convert to fraction form
    369.95/510.24 = 245.57/x
  3. Step 3: Cross multiply
    369.95x = 510.24 × 245.57
  4. Step 4: Simplify right side
    369.95x = 125,297.09
  5. Step 5: Solve for x
    x = 125,297.09/369.95
  6. Step 6: Final answer
    x = 338.69

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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.