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Finding the Fourth Proportional to 841.07, 1,261.56 and 256.04

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Solution

The fourth proportional to 841.07, 1,261.56 and 256.04 is: 384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.07 : 1,261.56 = 256.04 : x
  2. Step 2: Convert to fraction form
    841.07/1,261.56 = 256.04/x
  3. Step 3: Cross multiply
    841.07x = 1,261.56 × 256.04
  4. Step 4: Simplify right side
    841.07x = 323,009.82
  5. Step 5: Solve for x
    x = 323,009.82/841.07
  6. Step 6: Final answer
    x = 384.05

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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.