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Finding the Fourth Proportional to 538.58, 808.41 and 307.91

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Solution

The fourth proportional to 538.58, 808.41 and 307.91 is: 462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.58 : 808.41 = 307.91 : x
  2. Step 2: Convert to fraction form
    538.58/808.41 = 307.91/x
  3. Step 3: Cross multiply
    538.58x = 808.41 × 307.91
  4. Step 4: Simplify right side
    538.58x = 248,913.48
  5. Step 5: Solve for x
    x = 248,913.48/538.58
  6. Step 6: Final answer
    x = 462.17

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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.