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Finding the Fourth Proportional to 530.42, 795.99 and 357.41

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Solution

The fourth proportional to 530.42, 795.99 and 357.41 is: 536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.42 : 795.99 = 357.41 : x
  2. Step 2: Convert to fraction form
    530.42/795.99 = 357.41/x
  3. Step 3: Cross multiply
    530.42x = 795.99 × 357.41
  4. Step 4: Simplify right side
    530.42x = 284,490.81
  5. Step 5: Solve for x
    x = 284,490.81/530.42
  6. Step 6: Final answer
    x = 536.36

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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.