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Finding the Fourth Proportional to 287.40, 430.69 and 184.53

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Solution

The fourth proportional to 287.40, 430.69 and 184.53 is: 276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.40 : 430.69 = 184.53 : x
  2. Step 2: Convert to fraction form
    287.40/430.69 = 184.53/x
  3. Step 3: Cross multiply
    287.40x = 430.69 × 184.53
  4. Step 4: Simplify right side
    287.40x = 79,475.23
  5. Step 5: Solve for x
    x = 79,475.23/287.40
  6. Step 6: Final answer
    x = 276.53

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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.