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Finding the Fourth Proportional to 405.37, 608.52 and 307.63

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Solution

The fourth proportional to 405.37, 608.52 and 307.63 is: 461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.37 : 608.52 = 307.63 : x
  2. Step 2: Convert to fraction form
    405.37/608.52 = 307.63/x
  3. Step 3: Cross multiply
    405.37x = 608.52 × 307.63
  4. Step 4: Simplify right side
    405.37x = 187,199.01
  5. Step 5: Solve for x
    x = 187,199.01/405.37
  6. Step 6: Final answer
    x = 461.80

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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.