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Finding the Fourth Proportional to 304.16, 453.86 and 293.72

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Solution

The fourth proportional to 304.16, 453.86 and 293.72 is: 438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.16 : 453.86 = 293.72 : x
  2. Step 2: Convert to fraction form
    304.16/453.86 = 293.72/x
  3. Step 3: Cross multiply
    304.16x = 453.86 × 293.72
  4. Step 4: Simplify right side
    304.16x = 133,307.76
  5. Step 5: Solve for x
    x = 133,307.76/304.16
  6. Step 6: Final answer
    x = 438.28

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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.