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Finding the Fourth Proportional to 538.93, 808.35 and 307.09

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Solution

The fourth proportional to 538.93, 808.35 and 307.09 is: 460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.93 : 808.35 = 307.09 : x
  2. Step 2: Convert to fraction form
    538.93/808.35 = 307.09/x
  3. Step 3: Cross multiply
    538.93x = 808.35 × 307.09
  4. Step 4: Simplify right side
    538.93x = 248,238.65
  5. Step 5: Solve for x
    x = 248,238.65/538.93
  6. Step 6: Final answer
    x = 460.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.