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Finding the Fourth Proportional to 369.84, 509.25 and 316.98

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Solution

The fourth proportional to 369.84, 509.25 and 316.98 is: 436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 509.25 = 316.98 : x
  2. Step 2: Convert to fraction form
    369.84/509.25 = 316.98/x
  3. Step 3: Cross multiply
    369.84x = 509.25 × 316.98
  4. Step 4: Simplify right side
    369.84x = 161,422.07
  5. Step 5: Solve for x
    x = 161,422.07/369.84
  6. Step 6: Final answer
    x = 436.46

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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.