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Finding the Fourth Proportional to 275.94, 412.16 and 253.16

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Solution

The fourth proportional to 275.94, 412.16 and 253.16 is: 378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.94 : 412.16 = 253.16 : x
  2. Step 2: Convert to fraction form
    275.94/412.16 = 253.16/x
  3. Step 3: Cross multiply
    275.94x = 412.16 × 253.16
  4. Step 4: Simplify right side
    275.94x = 104,339.10
  5. Step 5: Solve for x
    x = 104,339.10/275.94
  6. Step 6: Final answer
    x = 378.12

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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.