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Finding the Fourth Proportional to 291.90, 435.72 and 257.31

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Solution

The fourth proportional to 291.90, 435.72 and 257.31 is: 384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.90 : 435.72 = 257.31 : x
  2. Step 2: Convert to fraction form
    291.90/435.72 = 257.31/x
  3. Step 3: Cross multiply
    291.90x = 435.72 × 257.31
  4. Step 4: Simplify right side
    291.90x = 112,113.48
  5. Step 5: Solve for x
    x = 112,113.48/291.90
  6. Step 6: Final answer
    x = 384.08

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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.