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Finding the Fourth Proportional to 369.83, 509.27 and 316.98

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Solution

The fourth proportional to 369.83, 509.27 and 316.98 is: 436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.83 : 509.27 = 316.98 : x
  2. Step 2: Convert to fraction form
    369.83/509.27 = 316.98/x
  3. Step 3: Cross multiply
    369.83x = 509.27 × 316.98
  4. Step 4: Simplify right side
    369.83x = 161,426.82
  5. Step 5: Solve for x
    x = 161,426.82/369.83
  6. Step 6: Final answer
    x = 436.50

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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.