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Finding the Fourth Proportional to 873.42, 1,309.76 and 257

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Solution

The fourth proportional to 873.42, 1,309.76 and 257 is: 385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.42 : 1,309.76 = 257 : x
  2. Step 2: Convert to fraction form
    873.42/1,309.76 = 257/x
  3. Step 3: Cross multiply
    873.42x = 1,309.76 × 257
  4. Step 4: Simplify right side
    873.42x = 336,608.32
  5. Step 5: Solve for x
    x = 336,608.32/873.42
  6. Step 6: Final answer
    x = 385.39

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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.