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Finding the Fourth Proportional to 357.64, 533.12 and 345.64

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Solution

The fourth proportional to 357.64, 533.12 and 345.64 is: 515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.64 : 533.12 = 345.64 : x
  2. Step 2: Convert to fraction form
    357.64/533.12 = 345.64/x
  3. Step 3: Cross multiply
    357.64x = 533.12 × 345.64
  4. Step 4: Simplify right side
    357.64x = 184,267.60
  5. Step 5: Solve for x
    x = 184,267.60/357.64
  6. Step 6: Final answer
    x = 515.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.