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Finding the Fourth Proportional to 297.51, 409.64 and 253.17

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Solution

The fourth proportional to 297.51, 409.64 and 253.17 is: 348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.51 : 409.64 = 253.17 : x
  2. Step 2: Convert to fraction form
    297.51/409.64 = 253.17/x
  3. Step 3: Cross multiply
    297.51x = 409.64 × 253.17
  4. Step 4: Simplify right side
    297.51x = 103,707.29
  5. Step 5: Solve for x
    x = 103,707.29/297.51
  6. Step 6: Final answer
    x = 348.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.