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Finding the Fourth Proportional to 285.02, 429.07 and 259.50

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Solution

The fourth proportional to 285.02, 429.07 and 259.50 is: 390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.02 : 429.07 = 259.50 : x
  2. Step 2: Convert to fraction form
    285.02/429.07 = 259.50/x
  3. Step 3: Cross multiply
    285.02x = 429.07 × 259.50
  4. Step 4: Simplify right side
    285.02x = 111,345.84
  5. Step 5: Solve for x
    x = 111,345.84/285.02
  6. Step 6: Final answer
    x = 390.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.