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Finding the Fourth Proportional to 1,221.19, 1,831.71 and 355.51

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Solution

The fourth proportional to 1,221.19, 1,831.71 and 355.51 is: 533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.19 : 1,831.71 = 355.51 : x
  2. Step 2: Convert to fraction form
    1,221.19/1,831.71 = 355.51/x
  3. Step 3: Cross multiply
    1,221.19x = 1,831.71 × 355.51
  4. Step 4: Simplify right side
    1,221.19x = 651,191.22
  5. Step 5: Solve for x
    x = 651,191.22/1,221.19
  6. Step 6: Final answer
    x = 533.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.