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Finding the Fourth Proportional to 338.18, 504.53 and 307.90

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Solution

The fourth proportional to 338.18, 504.53 and 307.90 is: 459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.18 : 504.53 = 307.90 : x
  2. Step 2: Convert to fraction form
    338.18/504.53 = 307.90/x
  3. Step 3: Cross multiply
    338.18x = 504.53 × 307.90
  4. Step 4: Simplify right side
    338.18x = 155,345.03
  5. Step 5: Solve for x
    x = 155,345.03/338.18
  6. Step 6: Final answer
    x = 459.36

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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.