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Finding the Fourth Proportional to 430.54, 646.53 and 282.54

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Solution

The fourth proportional to 430.54, 646.53 and 282.54 is: 424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.54 : 646.53 = 282.54 : x
  2. Step 2: Convert to fraction form
    430.54/646.53 = 282.54/x
  3. Step 3: Cross multiply
    430.54x = 646.53 × 282.54
  4. Step 4: Simplify right side
    430.54x = 182,670.59
  5. Step 5: Solve for x
    x = 182,670.59/430.54
  6. Step 6: Final answer
    x = 424.28

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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.