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Finding the Fourth Proportional to 495.11, 741.91 and 358.01

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Solution

The fourth proportional to 495.11, 741.91 and 358.01 is: 536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.11 : 741.91 = 358.01 : x
  2. Step 2: Convert to fraction form
    495.11/741.91 = 358.01/x
  3. Step 3: Cross multiply
    495.11x = 741.91 × 358.01
  4. Step 4: Simplify right side
    495.11x = 265,611.20
  5. Step 5: Solve for x
    x = 265,611.20/495.11
  6. Step 6: Final answer
    x = 536.47

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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.