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Finding the Fourth Proportional to 265.09, 365.80 and 152.98

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Solution

The fourth proportional to 265.09, 365.80 and 152.98 is: 211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.09 : 365.80 = 152.98 : x
  2. Step 2: Convert to fraction form
    265.09/365.80 = 152.98/x
  3. Step 3: Cross multiply
    265.09x = 365.80 × 152.98
  4. Step 4: Simplify right side
    265.09x = 55,959.08
  5. Step 5: Solve for x
    x = 55,959.08/265.09
  6. Step 6: Final answer
    x = 211.10

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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.