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Finding the Fourth Proportional to 265.71, 395.51 and 261.81

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Solution

The fourth proportional to 265.71, 395.51 and 261.81 is: 389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.71 : 395.51 = 261.81 : x
  2. Step 2: Convert to fraction form
    265.71/395.51 = 261.81/x
  3. Step 3: Cross multiply
    265.71x = 395.51 × 261.81
  4. Step 4: Simplify right side
    265.71x = 103,547.16
  5. Step 5: Solve for x
    x = 103,547.16/265.71
  6. Step 6: Final answer
    x = 389.70

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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.