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Finding the Fourth Proportional to 369.84, 552.08 and 356.16

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Solution

The fourth proportional to 369.84, 552.08 and 356.16 is: 531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 552.08 = 356.16 : x
  2. Step 2: Convert to fraction form
    369.84/552.08 = 356.16/x
  3. Step 3: Cross multiply
    369.84x = 552.08 × 356.16
  4. Step 4: Simplify right side
    369.84x = 196,628.81
  5. Step 5: Solve for x
    x = 196,628.81/369.84
  6. Step 6: Final answer
    x = 531.66

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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.