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Finding the Fourth Proportional to 369.60, 509.60 and 317.76

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Solution

The fourth proportional to 369.60, 509.60 and 317.76 is: 438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 509.60 = 317.76 : x
  2. Step 2: Convert to fraction form
    369.60/509.60 = 317.76/x
  3. Step 3: Cross multiply
    369.60x = 509.60 × 317.76
  4. Step 4: Simplify right side
    369.60x = 161,930.50
  5. Step 5: Solve for x
    x = 161,930.50/369.60
  6. Step 6: Final answer
    x = 438.12

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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.