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Finding the Fourth Proportional to 561.28, 841.23 and 253.06

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Solution

The fourth proportional to 561.28, 841.23 and 253.06 is: 379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.28 : 841.23 = 253.06 : x
  2. Step 2: Convert to fraction form
    561.28/841.23 = 253.06/x
  3. Step 3: Cross multiply
    561.28x = 841.23 × 253.06
  4. Step 4: Simplify right side
    561.28x = 212,881.66
  5. Step 5: Solve for x
    x = 212,881.66/561.28
  6. Step 6: Final answer
    x = 379.28

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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.