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Finding the Fourth Proportional to 265.61, 365.75 and 210.17

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Solution

The fourth proportional to 265.61, 365.75 and 210.17 is: 289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.61 : 365.75 = 210.17 : x
  2. Step 2: Convert to fraction form
    265.61/365.75 = 210.17/x
  3. Step 3: Cross multiply
    265.61x = 365.75 × 210.17
  4. Step 4: Simplify right side
    265.61x = 76,868.63
  5. Step 5: Solve for x
    x = 76,868.63/265.61
  6. Step 6: Final answer
    x = 289.40

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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.