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Finding the Fourth Proportional to 302.64, 450.77 and 275.10

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Solution

The fourth proportional to 302.64, 450.77 and 275.10 is: 409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.64 : 450.77 = 275.10 : x
  2. Step 2: Convert to fraction form
    302.64/450.77 = 275.10/x
  3. Step 3: Cross multiply
    302.64x = 450.77 × 275.10
  4. Step 4: Simplify right side
    302.64x = 124,006.83
  5. Step 5: Solve for x
    x = 124,006.83/302.64
  6. Step 6: Final answer
    x = 409.75

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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.