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Finding the Fourth Proportional to 306.60, 455.16 and 293.64

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Solution

The fourth proportional to 306.60, 455.16 and 293.64 is: 435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.60 : 455.16 = 293.64 : x
  2. Step 2: Convert to fraction form
    306.60/455.16 = 293.64/x
  3. Step 3: Cross multiply
    306.60x = 455.16 × 293.64
  4. Step 4: Simplify right side
    306.60x = 133,653.18
  5. Step 5: Solve for x
    x = 133,653.18/306.60
  6. Step 6: Final answer
    x = 435.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.