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Finding the Fourth Proportional to 405.37, 558.90 and 307.36

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Solution

The fourth proportional to 405.37, 558.90 and 307.36 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.37 : 558.90 = 307.36 : x
  2. Step 2: Convert to fraction form
    405.37/558.90 = 307.36/x
  3. Step 3: Cross multiply
    405.37x = 558.90 × 307.36
  4. Step 4: Simplify right side
    405.37x = 171,784.20
  5. Step 5: Solve for x
    x = 171,784.20/405.37
  6. Step 6: Final answer
    x = 423.77

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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.