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Finding the Fourth Proportional to 405.02, 558.36 and 317.54

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Solution

The fourth proportional to 405.02, 558.36 and 317.54 is: 437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.02 : 558.36 = 317.54 : x
  2. Step 2: Convert to fraction form
    405.02/558.36 = 317.54/x
  3. Step 3: Cross multiply
    405.02x = 558.36 × 317.54
  4. Step 4: Simplify right side
    405.02x = 177,303.03
  5. Step 5: Solve for x
    x = 177,303.03/405.02
  6. Step 6: Final answer
    x = 437.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.