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Finding the Fourth Proportional to 538.63, 808.51 and 307.96

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Solution

The fourth proportional to 538.63, 808.51 and 307.96 is: 462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.63 : 808.51 = 307.96 : x
  2. Step 2: Convert to fraction form
    538.63/808.51 = 307.96/x
  3. Step 3: Cross multiply
    538.63x = 808.51 × 307.96
  4. Step 4: Simplify right side
    538.63x = 248,988.74
  5. Step 5: Solve for x
    x = 248,988.74/538.63
  6. Step 6: Final answer
    x = 462.26

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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.