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Finding the Fourth Proportional to 291.70, 435.41 and 253.45

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Solution

The fourth proportional to 291.70, 435.41 and 253.45 is: 378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.70 : 435.41 = 253.45 : x
  2. Step 2: Convert to fraction form
    291.70/435.41 = 253.45/x
  3. Step 3: Cross multiply
    291.70x = 435.41 × 253.45
  4. Step 4: Simplify right side
    291.70x = 110,354.66
  5. Step 5: Solve for x
    x = 110,354.66/291.70
  6. Step 6: Final answer
    x = 378.32

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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.