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Finding the Fourth Proportional to 291.64, 438.08 and 248.40

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Solution

The fourth proportional to 291.64, 438.08 and 248.40 is: 373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.64 : 438.08 = 248.40 : x
  2. Step 2: Convert to fraction form
    291.64/438.08 = 248.40/x
  3. Step 3: Cross multiply
    291.64x = 438.08 × 248.40
  4. Step 4: Simplify right side
    291.64x = 108,819.07
  5. Step 5: Solve for x
    x = 108,819.07/291.64
  6. Step 6: Final answer
    x = 373.13

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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.