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Finding the Fourth Proportional to 369.77, 552.02 and 345.06

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Solution

The fourth proportional to 369.77, 552.02 and 345.06 is: 515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.77 : 552.02 = 345.06 : x
  2. Step 2: Convert to fraction form
    369.77/552.02 = 345.06/x
  3. Step 3: Cross multiply
    369.77x = 552.02 × 345.06
  4. Step 4: Simplify right side
    369.77x = 190,478.30
  5. Step 5: Solve for x
    x = 190,478.30/369.77
  6. Step 6: Final answer
    x = 515.13

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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.