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Finding the Fourth Proportional to 335.77, 504.21 and 253.51

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Solution

The fourth proportional to 335.77, 504.21 and 253.51 is: 380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.77 : 504.21 = 253.51 : x
  2. Step 2: Convert to fraction form
    335.77/504.21 = 253.51/x
  3. Step 3: Cross multiply
    335.77x = 504.21 × 253.51
  4. Step 4: Simplify right side
    335.77x = 127,822.28
  5. Step 5: Solve for x
    x = 127,822.28/335.77
  6. Step 6: Final answer
    x = 380.68

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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.