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Finding the Fourth Proportional to 538.14, 807.45 and 264.16

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Solution

The fourth proportional to 538.14, 807.45 and 264.16 is: 396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 807.45 = 264.16 : x
  2. Step 2: Convert to fraction form
    538.14/807.45 = 264.16/x
  3. Step 3: Cross multiply
    538.14x = 807.45 × 264.16
  4. Step 4: Simplify right side
    538.14x = 213,290.63
  5. Step 5: Solve for x
    x = 213,290.63/538.14
  6. Step 6: Final answer
    x = 396.35

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