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Finding the Fourth Proportional to 291.87, 435.67 and 257.28

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Solution

The fourth proportional to 291.87, 435.67 and 257.28 is: 384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.87 : 435.67 = 257.28 : x
  2. Step 2: Convert to fraction form
    291.87/435.67 = 257.28/x
  3. Step 3: Cross multiply
    291.87x = 435.67 × 257.28
  4. Step 4: Simplify right side
    291.87x = 112,087.64
  5. Step 5: Solve for x
    x = 112,087.64/291.87
  6. Step 6: Final answer
    x = 384.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.