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Finding the Fourth Proportional to 405.11, 607.46 and 358.94

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Solution

The fourth proportional to 405.11, 607.46 and 358.94 is: 538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.11 : 607.46 = 358.94 : x
  2. Step 2: Convert to fraction form
    405.11/607.46 = 358.94/x
  3. Step 3: Cross multiply
    405.11x = 607.46 × 358.94
  4. Step 4: Simplify right side
    405.11x = 218,041.42
  5. Step 5: Solve for x
    x = 218,041.42/405.11
  6. Step 6: Final answer
    x = 538.22

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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.