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Finding the Fourth Proportional to 405.30, 557.64 and 339.42

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Solution

The fourth proportional to 405.30, 557.64 and 339.42 is: 467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.30 : 557.64 = 339.42 : x
  2. Step 2: Convert to fraction form
    405.30/557.64 = 339.42/x
  3. Step 3: Cross multiply
    405.30x = 557.64 × 339.42
  4. Step 4: Simplify right side
    405.30x = 189,274.17
  5. Step 5: Solve for x
    x = 189,274.17/405.30
  6. Step 6: Final answer
    x = 467.00

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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.