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Finding the Fourth Proportional to 405.30, 607.03 and 284.10

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Solution

The fourth proportional to 405.30, 607.03 and 284.10 is: 425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.30 : 607.03 = 284.10 : x
  2. Step 2: Convert to fraction form
    405.30/607.03 = 284.10/x
  3. Step 3: Cross multiply
    405.30x = 607.03 × 284.10
  4. Step 4: Simplify right side
    405.30x = 172,455.71
  5. Step 5: Solve for x
    x = 172,455.71/405.30
  6. Step 6: Final answer
    x = 425.51

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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.